TSTP Solution File: SEV149^5 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SEV149^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 04:07:52 EDT 2024
% Result : Theorem 0.18s 0.51s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 16
% Syntax : Number of formulae : 52 ( 9 unt; 14 typ; 0 def)
% Number of atoms : 116 ( 0 equ; 0 cnn)
% Maximal formula atoms : 28 ( 3 avg)
% Number of connectives : 967 ( 89 ~; 137 |; 52 &; 635 @)
% ( 1 <=>; 53 =>; 0 <=; 0 <~>)
% Maximal formula depth : 41 ( 12 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 174 ( 174 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 13 usr; 3 con; 0-7 aty)
% Number of variables : 187 ( 0 ^ 187 !; 0 ?; 187 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_22,type,
epred1_4: ( a > $o ) > a > ( a > a > $o ) > ( a > a > $o ) > $o ).
thf(decl_23,type,
epred2_0: a > a > $o ).
thf(decl_24,type,
epred3_0: a > a > $o ).
thf(decl_25,type,
esk1_0: a ).
thf(decl_26,type,
esk2_0: a ).
thf(decl_27,type,
esk3_1: ( a > $o ) > a ).
thf(decl_28,type,
esk4_1: ( a > $o ) > a ).
thf(decl_29,type,
esk5_1: ( a > $o ) > a ).
thf(decl_30,type,
epred4_0: a > $o ).
thf(decl_31,type,
epred5_5: ( a > a > $o ) > ( a > a > $o ) > a > ( a > $o ) > a > a > $o ).
thf(decl_32,type,
epred6_5: ( a > a > $o ) > ( a > a > $o ) > a > ( a > $o ) > a > a > $o ).
thf(decl_33,type,
epred7_6: ( a > a > $o ) > ( a > a > $o ) > a > ( a > $o ) > a > a > a > $o ).
thf(decl_34,type,
epred8_6: ( a > a > $o ) > ( a > a > $o ) > a > ( a > $o ) > a > a > a > $o ).
thf(cTHM251B_pme,conjecture,
! [X1: a > a > $o,X2: a > a > $o,X3: a,X4: a] :
( ! [X5: a > $o] :
( ( ! [X6: a] :
( ( ( X1 @ X3 @ X6 )
| ( X2 @ X3 @ X6 ) )
=> ( X5 @ X6 ) )
& ! [X7: a,X8: a] :
( ( ( X5 @ X7 )
& ( ( X1 @ X7 @ X8 )
| ( X2 @ X7 @ X8 ) ) )
=> ( X5 @ X8 ) ) )
=> ( X5 @ X4 ) )
=> ! [X5: a > $o] :
( ( ! [X6: a] :
( ( ! [X9: a > $o] :
( ( ! [X10: a] :
( ( X1 @ X3 @ X10 )
=> ( X9 @ X10 ) )
& ! [X7: a,X8: a] :
( ( ( X9 @ X7 )
& ( X1 @ X7 @ X8 ) )
=> ( X9 @ X8 ) ) )
=> ( X9 @ X6 ) )
| ! [X9: a > $o] :
( ( ! [X10: a] :
( ( X2 @ X3 @ X10 )
=> ( X9 @ X10 ) )
& ! [X7: a,X8: a] :
( ( ( X9 @ X7 )
& ( X2 @ X7 @ X8 ) )
=> ( X9 @ X8 ) ) )
=> ( X9 @ X6 ) ) )
=> ( X5 @ X6 ) )
& ! [X7: a,X8: a] :
( ( ( X5 @ X7 )
& ( ! [X9: a > $o] :
( ( ! [X6: a] :
( ( X1 @ X7 @ X6 )
=> ( X9 @ X6 ) )
& ! [X11: a,X12: a] :
( ( ( X9 @ X11 )
& ( X1 @ X11 @ X12 ) )
=> ( X9 @ X12 ) ) )
=> ( X9 @ X8 ) )
| ! [X9: a > $o] :
( ( ! [X6: a] :
( ( X2 @ X7 @ X6 )
=> ( X9 @ X6 ) )
& ! [X11: a,X12: a] :
( ( ( X9 @ X11 )
& ( X2 @ X11 @ X12 ) )
=> ( X9 @ X12 ) ) )
=> ( X9 @ X8 ) ) ) )
=> ( X5 @ X8 ) ) )
=> ( X5 @ X4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM251B_pme) ).
thf(c_0_1,plain,
! [X1: a > a > $o,X2: a > a > $o,X3: a,X5: a > $o] :
( ( epred1_4 @ X5 @ X3 @ X2 @ X1 )
<=> ( ! [X6: a] :
( ( ! [X9: a > $o] :
( ( ! [X10: a] :
( ( X1 @ X3 @ X10 )
=> ( X9 @ X10 ) )
& ! [X7: a,X8: a] :
( ( ( X9 @ X7 )
& ( X1 @ X7 @ X8 ) )
=> ( X9 @ X8 ) ) )
=> ( X9 @ X6 ) )
| ! [X9: a > $o] :
( ( ! [X10: a] :
( ( X2 @ X3 @ X10 )
=> ( X9 @ X10 ) )
& ! [X7: a,X8: a] :
( ( ( X9 @ X7 )
& ( X2 @ X7 @ X8 ) )
=> ( X9 @ X8 ) ) )
=> ( X9 @ X6 ) ) )
=> ( X5 @ X6 ) )
& ! [X7: a,X8: a] :
( ( ( X5 @ X7 )
& ( ! [X9: a > $o] :
( ( ! [X6: a] :
( ( X1 @ X7 @ X6 )
=> ( X9 @ X6 ) )
& ! [X11: a,X12: a] :
( ( ( X9 @ X11 )
& ( X1 @ X11 @ X12 ) )
=> ( X9 @ X12 ) ) )
=> ( X9 @ X8 ) )
| ! [X9: a > $o] :
( ( ! [X6: a] :
( ( X2 @ X7 @ X6 )
=> ( X9 @ X6 ) )
& ! [X11: a,X12: a] :
( ( ( X9 @ X11 )
& ( X2 @ X11 @ X12 ) )
=> ( X9 @ X12 ) ) )
=> ( X9 @ X8 ) ) ) )
=> ( X5 @ X8 ) ) ) ),
introduced(definition) ).
thf(c_0_2,plain,
! [X1: a > a > $o,X2: a > a > $o,X3: a,X5: a > $o] :
( ( epred1_4 @ X5 @ X3 @ X2 @ X1 )
=> ( ! [X6: a] :
( ( ! [X9: a > $o] :
( ( ! [X10: a] :
( ( X1 @ X3 @ X10 )
=> ( X9 @ X10 ) )
& ! [X7: a,X8: a] :
( ( ( X9 @ X7 )
& ( X1 @ X7 @ X8 ) )
=> ( X9 @ X8 ) ) )
=> ( X9 @ X6 ) )
| ! [X9: a > $o] :
( ( ! [X10: a] :
( ( X2 @ X3 @ X10 )
=> ( X9 @ X10 ) )
& ! [X7: a,X8: a] :
( ( ( X9 @ X7 )
& ( X2 @ X7 @ X8 ) )
=> ( X9 @ X8 ) ) )
=> ( X9 @ X6 ) ) )
=> ( X5 @ X6 ) )
& ! [X7: a,X8: a] :
( ( ( X5 @ X7 )
& ( ! [X9: a > $o] :
( ( ! [X6: a] :
( ( X1 @ X7 @ X6 )
=> ( X9 @ X6 ) )
& ! [X11: a,X12: a] :
( ( ( X9 @ X11 )
& ( X1 @ X11 @ X12 ) )
=> ( X9 @ X12 ) ) )
=> ( X9 @ X8 ) )
| ! [X9: a > $o] :
( ( ! [X6: a] :
( ( X2 @ X7 @ X6 )
=> ( X9 @ X6 ) )
& ! [X11: a,X12: a] :
( ( ( X9 @ X11 )
& ( X2 @ X11 @ X12 ) )
=> ( X9 @ X12 ) ) )
=> ( X9 @ X8 ) ) ) )
=> ( X5 @ X8 ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_1]) ).
thf(c_0_3,plain,
! [X50: a > a > $o,X51: a > a > $o,X52: a,X53: a > $o,X54: a,X56: a,X57: a,X58: a,X60: a,X61: a,X62: a,X63: a,X64: a,X66: a,X67: a,X68: a,X70: a,X71: a,X72: a] :
( ( ~ ( X50 @ X52 @ X56 )
| ( epred5_5 @ X50 @ X51 @ X52 @ X53 @ X54 @ X56 )
| ( X53 @ X54 )
| ~ ( epred1_4 @ X53 @ X52 @ X51 @ X50 ) )
& ( ~ ( epred5_5 @ X50 @ X51 @ X52 @ X53 @ X54 @ X57 )
| ~ ( X50 @ X57 @ X58 )
| ( epred5_5 @ X50 @ X51 @ X52 @ X53 @ X54 @ X58 )
| ( X53 @ X54 )
| ~ ( epred1_4 @ X53 @ X52 @ X51 @ X50 ) )
& ( ~ ( epred5_5 @ X50 @ X51 @ X52 @ X53 @ X54 @ X54 )
| ( X53 @ X54 )
| ~ ( epred1_4 @ X53 @ X52 @ X51 @ X50 ) )
& ( ~ ( X51 @ X52 @ X60 )
| ( epred6_5 @ X50 @ X51 @ X52 @ X53 @ X54 @ X60 )
| ( X53 @ X54 )
| ~ ( epred1_4 @ X53 @ X52 @ X51 @ X50 ) )
& ( ~ ( epred6_5 @ X50 @ X51 @ X52 @ X53 @ X54 @ X61 )
| ~ ( X51 @ X61 @ X62 )
| ( epred6_5 @ X50 @ X51 @ X52 @ X53 @ X54 @ X62 )
| ( X53 @ X54 )
| ~ ( epred1_4 @ X53 @ X52 @ X51 @ X50 ) )
& ( ~ ( epred6_5 @ X50 @ X51 @ X52 @ X53 @ X54 @ X54 )
| ( X53 @ X54 )
| ~ ( epred1_4 @ X53 @ X52 @ X51 @ X50 ) )
& ( ~ ( X50 @ X63 @ X66 )
| ( epred7_6 @ X50 @ X51 @ X52 @ X53 @ X63 @ X64 @ X66 )
| ~ ( X53 @ X63 )
| ( X53 @ X64 )
| ~ ( epred1_4 @ X53 @ X52 @ X51 @ X50 ) )
& ( ~ ( epred7_6 @ X50 @ X51 @ X52 @ X53 @ X63 @ X64 @ X67 )
| ~ ( X50 @ X67 @ X68 )
| ( epred7_6 @ X50 @ X51 @ X52 @ X53 @ X63 @ X64 @ X68 )
| ~ ( X53 @ X63 )
| ( X53 @ X64 )
| ~ ( epred1_4 @ X53 @ X52 @ X51 @ X50 ) )
& ( ~ ( epred7_6 @ X50 @ X51 @ X52 @ X53 @ X63 @ X64 @ X64 )
| ~ ( X53 @ X63 )
| ( X53 @ X64 )
| ~ ( epred1_4 @ X53 @ X52 @ X51 @ X50 ) )
& ( ~ ( X51 @ X63 @ X70 )
| ( epred8_6 @ X50 @ X51 @ X52 @ X53 @ X63 @ X64 @ X70 )
| ~ ( X53 @ X63 )
| ( X53 @ X64 )
| ~ ( epred1_4 @ X53 @ X52 @ X51 @ X50 ) )
& ( ~ ( epred8_6 @ X50 @ X51 @ X52 @ X53 @ X63 @ X64 @ X71 )
| ~ ( X51 @ X71 @ X72 )
| ( epred8_6 @ X50 @ X51 @ X52 @ X53 @ X63 @ X64 @ X72 )
| ~ ( X53 @ X63 )
| ( X53 @ X64 )
| ~ ( epred1_4 @ X53 @ X52 @ X51 @ X50 ) )
& ( ~ ( epred8_6 @ X50 @ X51 @ X52 @ X53 @ X63 @ X64 @ X64 )
| ~ ( X53 @ X63 )
| ( X53 @ X64 )
| ~ ( epred1_4 @ X53 @ X52 @ X51 @ X50 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])])]) ).
thf(c_0_4,negated_conjecture,
~ ! [X1: a > a > $o,X2: a > a > $o,X3: a,X4: a] :
( ! [X5: a > $o] :
( ( ! [X6: a] :
( ( ( X1 @ X3 @ X6 )
| ( X2 @ X3 @ X6 ) )
=> ( X5 @ X6 ) )
& ! [X7: a,X8: a] :
( ( ( X5 @ X7 )
& ( ( X1 @ X7 @ X8 )
| ( X2 @ X7 @ X8 ) ) )
=> ( X5 @ X8 ) ) )
=> ( X5 @ X4 ) )
=> ! [X5: a > $o] :
( ( epred1_4 @ X5 @ X3 @ X2 @ X1 )
=> ( X5 @ X4 ) ) ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[cTHM251B_pme]),c_0_1]) ).
thf(c_0_5,plain,
! [X6: a,X5: a > $o,X4: a,X3: a,X2: a > a > $o,X1: a > a > $o] :
( ( X5 @ X6 )
| ~ ( epred7_6 @ X1 @ X2 @ X3 @ X5 @ X4 @ X6 @ X6 )
| ~ ( X5 @ X4 )
| ~ ( epred1_4 @ X5 @ X3 @ X2 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_6,plain,
! [X4: a,X3: a,X7: a,X6: a,X5: a > $o,X2: a > a > $o,X1: a > a > $o] :
( ( epred7_6 @ X1 @ X2 @ X6 @ X5 @ X3 @ X7 @ X4 )
| ( X5 @ X7 )
| ~ ( X1 @ X3 @ X4 )
| ~ ( X5 @ X3 )
| ~ ( epred1_4 @ X5 @ X6 @ X2 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_7,negated_conjecture,
! [X45: a > $o] :
( ( ( X45 @ ( esk4_1 @ X45 ) )
| ( epred2_0 @ esk1_0 @ ( esk3_1 @ X45 ) )
| ( epred3_0 @ esk1_0 @ ( esk3_1 @ X45 ) )
| ( X45 @ esk2_0 ) )
& ( ( epred2_0 @ ( esk4_1 @ X45 ) @ ( esk5_1 @ X45 ) )
| ( epred3_0 @ ( esk4_1 @ X45 ) @ ( esk5_1 @ X45 ) )
| ( epred2_0 @ esk1_0 @ ( esk3_1 @ X45 ) )
| ( epred3_0 @ esk1_0 @ ( esk3_1 @ X45 ) )
| ( X45 @ esk2_0 ) )
& ( ~ ( X45 @ ( esk5_1 @ X45 ) )
| ( epred2_0 @ esk1_0 @ ( esk3_1 @ X45 ) )
| ( epred3_0 @ esk1_0 @ ( esk3_1 @ X45 ) )
| ( X45 @ esk2_0 ) )
& ( ( X45 @ ( esk4_1 @ X45 ) )
| ~ ( X45 @ ( esk3_1 @ X45 ) )
| ( X45 @ esk2_0 ) )
& ( ( epred2_0 @ ( esk4_1 @ X45 ) @ ( esk5_1 @ X45 ) )
| ( epred3_0 @ ( esk4_1 @ X45 ) @ ( esk5_1 @ X45 ) )
| ~ ( X45 @ ( esk3_1 @ X45 ) )
| ( X45 @ esk2_0 ) )
& ( ~ ( X45 @ ( esk5_1 @ X45 ) )
| ~ ( X45 @ ( esk3_1 @ X45 ) )
| ( X45 @ esk2_0 ) )
& ( epred1_4 @ epred4_0 @ esk1_0 @ epred3_0 @ epred2_0 )
& ~ ( epred4_0 @ esk2_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])])]) ).
thf(c_0_8,plain,
! [X6: a,X5: a > $o,X4: a,X3: a,X2: a > a > $o,X1: a > a > $o] :
( ( X5 @ X6 )
| ~ ( epred8_6 @ X1 @ X2 @ X3 @ X5 @ X4 @ X6 @ X6 )
| ~ ( X5 @ X4 )
| ~ ( epred1_4 @ X5 @ X3 @ X2 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_9,plain,
! [X1: a > a > $o,X4: a,X7: a,X6: a,X5: a > $o,X3: a,X2: a > a > $o] :
( ( epred8_6 @ X2 @ X1 @ X6 @ X5 @ X3 @ X7 @ X4 )
| ( X5 @ X7 )
| ~ ( X1 @ X3 @ X4 )
| ~ ( X5 @ X3 )
| ~ ( epred1_4 @ X5 @ X6 @ X1 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_10,plain,
! [X1: a > a > $o,X2: a > a > $o,X4: a,X3: a,X5: a > $o,X6: a] :
( ( X5 @ X3 )
| ~ ( epred1_4 @ X5 @ X4 @ X1 @ X2 )
| ~ ( X2 @ X6 @ X3 )
| ~ ( X5 @ X6 ) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
thf(c_0_11,negated_conjecture,
epred1_4 @ epred4_0 @ esk1_0 @ epred3_0 @ epred2_0,
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_12,plain,
! [X1: a > a > $o,X2: a > a > $o,X4: a,X3: a,X5: a > $o,X6: a] :
( ( X5 @ X3 )
| ~ ( epred1_4 @ X5 @ X4 @ X1 @ X2 )
| ~ ( X1 @ X6 @ X3 )
| ~ ( X5 @ X6 ) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
thf(c_0_13,negated_conjecture,
! [X3: a,X4: a] :
( ( epred4_0 @ X3 )
| ~ ( epred2_0 @ X4 @ X3 )
| ~ ( epred4_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
thf(c_0_14,negated_conjecture,
! [X5: a > $o] :
( ( epred2_0 @ ( esk4_1 @ X5 ) @ ( esk5_1 @ X5 ) )
| ( epred3_0 @ ( esk4_1 @ X5 ) @ ( esk5_1 @ X5 ) )
| ( epred2_0 @ esk1_0 @ ( esk3_1 @ X5 ) )
| ( epred3_0 @ esk1_0 @ ( esk3_1 @ X5 ) )
| ( X5 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_15,negated_conjecture,
! [X3: a,X4: a] :
( ( epred4_0 @ X3 )
| ~ ( epred3_0 @ X4 @ X3 )
| ~ ( epred4_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_12,c_0_11]) ).
thf(c_0_16,plain,
! [X5: a > $o,X4: a,X3: a,X2: a > a > $o,X1: a > a > $o] :
( ( X5 @ X4 )
| ~ ( epred5_5 @ X1 @ X2 @ X3 @ X5 @ X4 @ X4 )
| ~ ( epred1_4 @ X5 @ X3 @ X2 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_17,plain,
! [X6: a,X5: a > $o,X4: a,X3: a,X2: a > a > $o,X1: a > a > $o] :
( ( epred5_5 @ X1 @ X2 @ X3 @ X5 @ X6 @ X4 )
| ( X5 @ X6 )
| ~ ( X1 @ X3 @ X4 )
| ~ ( epred1_4 @ X5 @ X3 @ X2 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_18,negated_conjecture,
! [X5: a > $o] :
( ( epred2_0 @ esk1_0 @ ( esk3_1 @ X5 ) )
| ( epred3_0 @ esk1_0 @ ( esk3_1 @ X5 ) )
| ( X5 @ esk2_0 )
| ~ ( X5 @ ( esk5_1 @ X5 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_19,negated_conjecture,
! [X5: a > $o] :
( ( epred3_0 @ esk1_0 @ ( esk3_1 @ X5 ) )
| ( epred2_0 @ esk1_0 @ ( esk3_1 @ X5 ) )
| ( epred4_0 @ ( esk5_1 @ X5 ) )
| ( X5 @ esk2_0 )
| ~ ( epred4_0 @ ( esk4_1 @ X5 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).
thf(c_0_20,negated_conjecture,
~ ( epred4_0 @ esk2_0 ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_21,plain,
! [X5: a > $o,X4: a,X3: a,X2: a > a > $o,X1: a > a > $o] :
( ( X5 @ X4 )
| ~ ( epred6_5 @ X1 @ X2 @ X3 @ X5 @ X4 @ X4 )
| ~ ( epred1_4 @ X5 @ X3 @ X2 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_22,plain,
! [X1: a > a > $o,X6: a,X5: a > $o,X4: a,X3: a,X2: a > a > $o] :
( ( epred6_5 @ X2 @ X1 @ X3 @ X5 @ X6 @ X4 )
| ( X5 @ X6 )
| ~ ( X1 @ X3 @ X4 )
| ~ ( epred1_4 @ X5 @ X3 @ X1 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_23,plain,
! [X1: a > a > $o,X2: a > a > $o,X5: a > $o,X4: a,X3: a] :
( ( X5 @ X3 )
| ~ ( epred1_4 @ X5 @ X4 @ X1 @ X2 )
| ~ ( X2 @ X4 @ X3 ) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
thf(c_0_24,negated_conjecture,
( ( epred3_0 @ esk1_0 @ ( esk3_1 @ epred4_0 ) )
| ( epred2_0 @ esk1_0 @ ( esk3_1 @ epred4_0 ) )
| ~ ( epred4_0 @ ( esk4_1 @ epred4_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]) ).
thf(c_0_25,negated_conjecture,
! [X5: a > $o] :
( ( X5 @ ( esk4_1 @ X5 ) )
| ( epred2_0 @ esk1_0 @ ( esk3_1 @ X5 ) )
| ( epred3_0 @ esk1_0 @ ( esk3_1 @ X5 ) )
| ( X5 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_26,plain,
! [X1: a > a > $o,X2: a > a > $o,X5: a > $o,X4: a,X3: a] :
( ( X5 @ X3 )
| ~ ( epred1_4 @ X5 @ X4 @ X1 @ X2 )
| ~ ( X1 @ X4 @ X3 ) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
thf(c_0_27,negated_conjecture,
! [X5: a > $o] :
( ( epred2_0 @ ( esk4_1 @ X5 ) @ ( esk5_1 @ X5 ) )
| ( epred3_0 @ ( esk4_1 @ X5 ) @ ( esk5_1 @ X5 ) )
| ( X5 @ esk2_0 )
| ~ ( X5 @ ( esk3_1 @ X5 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_28,negated_conjecture,
! [X3: a] :
( ( epred4_0 @ X3 )
| ~ ( epred2_0 @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_23,c_0_11]) ).
thf(c_0_29,negated_conjecture,
( ( epred2_0 @ esk1_0 @ ( esk3_1 @ epred4_0 ) )
| ( epred3_0 @ esk1_0 @ ( esk3_1 @ epred4_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_20]) ).
thf(c_0_30,negated_conjecture,
! [X3: a] :
( ( epred4_0 @ X3 )
| ~ ( epred3_0 @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_26,c_0_11]) ).
thf(c_0_31,negated_conjecture,
! [X5: a > $o] :
( ( epred4_0 @ ( esk5_1 @ X5 ) )
| ( X5 @ esk2_0 )
| ~ ( epred4_0 @ ( esk4_1 @ X5 ) )
| ~ ( X5 @ ( esk3_1 @ X5 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_27]),c_0_15]) ).
thf(c_0_32,negated_conjecture,
epred4_0 @ ( esk3_1 @ epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).
thf(c_0_33,negated_conjecture,
! [X5: a > $o] :
( ( X5 @ esk2_0 )
| ~ ( X5 @ ( esk5_1 @ X5 ) )
| ~ ( X5 @ ( esk3_1 @ X5 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_34,negated_conjecture,
( ( epred4_0 @ ( esk5_1 @ epred4_0 ) )
| ~ ( epred4_0 @ ( esk4_1 @ epred4_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_20]) ).
thf(c_0_35,negated_conjecture,
~ ( epred4_0 @ ( esk4_1 @ epred4_0 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_32])]),c_0_20]) ).
thf(c_0_36,negated_conjecture,
! [X5: a > $o] :
( ( X5 @ ( esk4_1 @ X5 ) )
| ( X5 @ esk2_0 )
| ~ ( X5 @ ( esk3_1 @ X5 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_37,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_32])]),c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEV149^5 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.12 % Command : run_E %s %d THM
% 0.12/0.32 % Computer : n004.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Sun May 19 19:07:23 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.18/0.47 Running higher-order theorem proving
% 0.18/0.47 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.51 # Version: 3.1.0-ho
% 0.18/0.51 # Preprocessing class: HSMSSMSSSSSNSSA.
% 0.18/0.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.51 # Starting post_as_ho1 with 1500s (5) cores
% 0.18/0.51 # Starting post_as_ho12 with 300s (1) cores
% 0.18/0.51 # Starting new_ho_3 with 300s (1) cores
% 0.18/0.51 # Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.18/0.51 # ehoh_best2_full_lfho with pid 10925 completed with status 0
% 0.18/0.51 # Result found by ehoh_best2_full_lfho
% 0.18/0.51 # Preprocessing class: HSMSSMSSSSSNSSA.
% 0.18/0.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.51 # Starting post_as_ho1 with 1500s (5) cores
% 0.18/0.51 # Starting post_as_ho12 with 300s (1) cores
% 0.18/0.51 # Starting new_ho_3 with 300s (1) cores
% 0.18/0.51 # Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.18/0.51 # No SInE strategy applied
% 0.18/0.51 # Search class: HGUNF-FFMF11-SSSFFMBN
% 0.18/0.51 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.51 # Starting new_ho_10 with 163s (1) cores
% 0.18/0.51 # new_ho_10 with pid 10929 completed with status 0
% 0.18/0.51 # Result found by new_ho_10
% 0.18/0.51 # Preprocessing class: HSMSSMSSSSSNSSA.
% 0.18/0.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.51 # Starting post_as_ho1 with 1500s (5) cores
% 0.18/0.51 # Starting post_as_ho12 with 300s (1) cores
% 0.18/0.51 # Starting new_ho_3 with 300s (1) cores
% 0.18/0.51 # Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.18/0.51 # No SInE strategy applied
% 0.18/0.51 # Search class: HGUNF-FFMF11-SSSFFMBN
% 0.18/0.51 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.51 # Starting new_ho_10 with 163s (1) cores
% 0.18/0.51 # Preprocessing time : 0.001 s
% 0.18/0.51 # Presaturation interreduction done
% 0.18/0.51
% 0.18/0.51 # Proof found!
% 0.18/0.51 # SZS status Theorem
% 0.18/0.51 # SZS output start CNFRefutation
% See solution above
% 0.18/0.51 # Parsed axioms : 2
% 0.18/0.51 # Removed by relevancy pruning/SinE : 0
% 0.18/0.51 # Initial clauses : 21
% 0.18/0.51 # Removed in clause preprocessing : 1
% 0.18/0.51 # Initial clauses in saturation : 20
% 0.18/0.51 # Processed clauses : 86
% 0.18/0.51 # ...of these trivial : 0
% 0.18/0.51 # ...subsumed : 0
% 0.18/0.51 # ...remaining for further processing : 86
% 0.18/0.51 # Other redundant clauses eliminated : 0
% 0.18/0.51 # Clauses deleted for lack of memory : 0
% 0.18/0.51 # Backward-subsumed : 2
% 0.18/0.51 # Backward-rewritten : 0
% 0.18/0.51 # Generated clauses : 157
% 0.18/0.51 # ...of the previous two non-redundant : 156
% 0.18/0.51 # ...aggressively subsumed : 0
% 0.18/0.51 # Contextual simplify-reflections : 5
% 0.18/0.51 # Paramodulations : 157
% 0.18/0.51 # Factorizations : 0
% 0.18/0.51 # NegExts : 0
% 0.18/0.51 # Equation resolutions : 0
% 0.18/0.51 # Disequality decompositions : 0
% 0.18/0.51 # Total rewrite steps : 2
% 0.18/0.51 # ...of those cached : 1
% 0.18/0.51 # Propositional unsat checks : 0
% 0.18/0.51 # Propositional check models : 0
% 0.18/0.51 # Propositional check unsatisfiable : 0
% 0.18/0.51 # Propositional clauses : 0
% 0.18/0.51 # Propositional clauses after purity: 0
% 0.18/0.51 # Propositional unsat core size : 0
% 0.18/0.51 # Propositional preprocessing time : 0.000
% 0.18/0.51 # Propositional encoding time : 0.000
% 0.18/0.51 # Propositional solver time : 0.000
% 0.18/0.51 # Success case prop preproc time : 0.000
% 0.18/0.51 # Success case prop encoding time : 0.000
% 0.18/0.51 # Success case prop solver time : 0.000
% 0.18/0.51 # Current number of processed clauses : 64
% 0.18/0.51 # Positive orientable unit clauses : 2
% 0.18/0.51 # Positive unorientable unit clauses: 0
% 0.18/0.51 # Negative unit clauses : 2
% 0.18/0.51 # Non-unit-clauses : 60
% 0.18/0.51 # Current number of unprocessed clauses: 109
% 0.18/0.51 # ...number of literals in the above : 890
% 0.18/0.51 # Current number of archived formulas : 0
% 0.18/0.51 # Current number of archived clauses : 22
% 0.18/0.51 # Clause-clause subsumption calls (NU) : 2974
% 0.18/0.51 # Rec. Clause-clause subsumption calls : 990
% 0.18/0.51 # Non-unit clause-clause subsumptions : 6
% 0.18/0.51 # Unit Clause-clause subsumption calls : 76
% 0.18/0.51 # Rewrite failures with RHS unbound : 0
% 0.18/0.51 # BW rewrite match attempts : 0
% 0.18/0.51 # BW rewrite match successes : 0
% 0.18/0.51 # Condensation attempts : 86
% 0.18/0.51 # Condensation successes : 0
% 0.18/0.51 # Termbank termtop insertions : 13030
% 0.18/0.51 # Search garbage collected termcells : 1029
% 0.18/0.51
% 0.18/0.51 # -------------------------------------------------
% 0.18/0.51 # User time : 0.022 s
% 0.18/0.51 # System time : 0.004 s
% 0.18/0.51 # Total time : 0.027 s
% 0.18/0.51 # Maximum resident set size: 1900 pages
% 0.18/0.51
% 0.18/0.51 # -------------------------------------------------
% 0.18/0.51 # User time : 0.026 s
% 0.18/0.51 # System time : 0.005 s
% 0.18/0.51 # Total time : 0.030 s
% 0.18/0.51 # Maximum resident set size: 1768 pages
% 0.18/0.51 % E---3.1 exiting
% 0.18/0.51 % E exiting
%------------------------------------------------------------------------------